Finite Group Databasebeta

D47×#1964 #26220019

order12032
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C26×C4

Aliases

direct productD47×#1964

Splittings

FittingC47×#1964 ⋊ C2
SylowC47 ⋊ C2×#1964

Subgroups

subgroupG/H
centerC22C2×C22⋊C4×D47
commutatorC23×C47C23×C4
FrattiniC24C23×D47
FittingC47×#1964C2
socleC22×C47C22×C22⋊C4
prime radicalC2×#121×D47C2
cosocleC24×C47C24
hypercenter#1964D47
hypocenterC47C2×#1964
LCSG ▷ C23×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C23×C4 ◁ #1964

2218 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

800 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 173309);